facts stringlengths 9 219 | formula stringlengths 6 173 | num_operators int64 1 20 | gold_formula bool 2
classes |
|---|---|---|---|
e is true, q is true, m is true, x is true, z is true, d is false, i is true, k is true, o is true, l is true, y is true, u is false, n is false | u implies e implies n and q and k implies d and x and i and l implies o or m or u implies y and z | 13 | true |
q is true, w is true, x is true, o is true, l is true, a is true, g is true | q and l implies o implies w implies a and g implies x or w or o | 8 | true |
r is false, q is true, s is false, b is true, o is false, i is false, k is true, a is false, u is false | q and u implies k or r and a implies o and a or b or i implies s implies b | 10 | true |
m is false, h is false, u is true, y is true, l is false, g is true, v is true | v or m and y or g implies g implies l and h and u | 7 | false |
r is false, m is true, j is true, s is false, w is true, h is false, x is false, f is true, c is true, i is true, d is false, t is true, y is true, g is true, v is false | g or i and x implies d implies r or v implies m implies i implies g implies t or y and s implies f or w and s implies s or h implies j and c and r | 19 | true |
r is false, q is true, x is false, u is true, t is false, l is false, g is false, v is false | x implies t or v implies g implies r implies l or u implies q | 7 | true |
e is false, r is false, m is true, p is false, b is false, x is true, z is false, o is true, n is true | p implies x implies x or p implies z or n and r and n and m or e or o and b | 11 | false |
e is true, r is true, q is true, p is true, w is true, x is true, c is false, i is false, k is true, a is true, n is false, f is true | p implies c implies q implies f implies r and a implies e or n implies i or x and w and f and k | 12 | true |
j is false, i is true, t is true, o is true, u is true | i and o or u implies j implies t | 4 | true |
j is false, w is true, p is false, x is true, u is true, i is true, l is true, g is false, f is true | x implies i implies u and g implies f or x and w or u implies j and l implies p | 10 | true |
e is false, s is false, p is true, z is false, u is true, o is true, g is false, c is false | e or s and c implies z and p and o implies g or u | 7 | true |
e is false, x is true, z is false, y is false, l is false, a is true, h is false, g is true, f is false | h and z or f or x or l and y and e or f or a or g | 9 | true |
o is false, y is true, v is true | o implies v or y | 2 | true |
q is false, s is false, w is false, p is true, b is true, z is true, a is false, n is false, f is true | f and s implies p or w implies q implies q implies b and a and z or w and n | 10 | false |
m is false, p is false, x is true, t is false, u is true | x or m and u implies t or p | 4 | false |
a is true, m is true, y is false, z is false | m and z or y implies a | 3 | true |
e is false, w is true, x is false, f is true, v is true, o is false, k is true, y is false, l is true, a is false, g is true, c is true | g implies w implies a implies k implies e and y or g implies c implies x and v implies f and l implies o and k | 13 | false |
m is true, q is false, s is true, p is false, w is true, x is false, c is false, d is true, i is false, y is true, o is false, k is true, a is false, l is false, u is false, g is true, f is true | f and p and d and m and y implies s or i implies x and u implies f implies a implies o or q or w and k and a implies l and c or g | 18 | true |
q is false, u is false, j is true, l is false | u and l and j implies q | 3 | true |
e is false, r is false, m is true, q is false, c is false, i is true, o is true, k is true, l is true, a is false, n is false, v is true | a or e or r implies i and v or o or o or c or c or m or l and e and k and q implies n | 14 | false |
r is true, p is true, b is false, o is false, t is true, k is true, c is true | k implies t or r or p and c and b implies o | 6 | false |
e is false, j is true, s is false, p is true, u is true, f is false, d is true, y is false, l is false, h is true, n is false, v is false | h or y or j implies u and v or s implies f implies n implies d and l and u implies p or e | 12 | true |
q is true, s is false, v is false, d is false, i is true, c is true | c implies q or c or i or c or i and i implies d implies s and v and v | 10 | true |
g is true, s is true | g and s | 1 | true |
e is false, r is false, w is true, b is false, x is false, z is true, v is true, i is true, o is true, k is false, l is true, a is false, n is true, u is true, g is true, f is true | f and u implies w implies i or a and z and o implies l implies x implies o and g and b and i or r or a implies n implies a and a and k or v implies e | 20 | false |
s is false, p is false, z is false, i is true, o is true, t is false, g is true, l is true, k is false, h is true, n is true, f is false | n or f and l implies i implies s and o or p or z and h or s and l implies h and t and h implies i or i implies g implies k implies z implies p implies o | 20 | true |
r is true, j is true, s is false, p is false, z is false, c is false, o is false, t is false, d is false, k is false, i is true, n is true, h is false, g is true, v is true | z and r and c implies t implies v or o or h and d implies k and g and d implies g and h or j and p or i implies n or r and s | 18 | true |
w is false, u is false, c is true, g is false, v is false | c and c implies g and w and u or v | 5 | false |
m is false, q is false, s is true, z is false, u is true, i is false, o is false, t is false, a is true, h is false, c is true | i implies m implies q and a or c or s or h implies u implies o or t and z | 10 | false |
x is true, z is false, i is true, t is false, o is false, g is false | t or z or g or i implies x implies o | 5 | false |
e is false, q is false, m is true, y is true | y implies m or q implies e | 3 | false |
r is true, j is true, p is true, u is false, i is false, t is true, y is false, k is true, l is true, h is true, g is false, v is false | y or r or v and i or h or l and j or y implies h or u implies g implies y implies t or k and p | 14 | true |
m is false, s is true, j is true, d is false | m and j or d and m implies j or s | 5 | true |
q is true, s is true, o is true, k is false, a is true, u is true, n is false | u and n and s and k implies a and u implies n implies o and q | 8 | true |
e is true, r is true, j is true, m is true, s is true, w is false, b is false, f is true, u is true, d is false, o is true, k is false, y is false, a is false, g is false, n is false, v is false | r implies n and k and n or g or v or a and j implies d implies y or e and a implies b implies s and f and j or o or r or w implies u and m | 20 | true |
r is true, x is false, z is false, o is true, t is false, k is true, y is false, f is false | z or t and k and x implies y and o and r and f | 7 | true |
r is false, w is false, p is false, t is false, a is false, g is false, n is true | t and a or a implies w or n or g or w or r and p | 8 | true |
r is false, j is false, p is true, b is true, x is true, w is false, z is true, d is true, t is true, n is false, c is false | d implies r and n implies z implies b and p implies d or c and d implies x and p and j or j and t implies w or j implies p implies b and c | 18 | false |
j is true, m is true, s is false, w is false, i is false, g is true, c is false | j implies g implies s or c implies w implies w or c or i implies m implies w | 9 | false |
e is false, q is false, b is false, x is false, i is false, t is false, k is true, o is true, l is true, a is false, n is false, c is false | k implies n or l and c and x implies i or t and o implies b and c and e or b or q implies a | 13 | true |
e is false, r is false, q is false, j is false, p is false, w is false, h is true, d is true, o is false, k is true, y is false, l is false, g is false, f is false | g implies o or r implies r and d and q or k and l or p implies j and e and w and h implies y implies r implies d and d implies f or l or h and g | 20 | false |
m is false, s is true, w is false, t is false, k is false, l is true, g is false, c is false | m and l or g or c or k and k and t or w implies s | 8 | true |
e is false, r is true, m is false, j is true, w is false, b is true, z is true, o is false, t is false, g is true, y is false, l is true, u is true, n is false | n implies u and e or z and b or w or o implies m and t implies r and j or j and e and o implies e implies g implies l implies y implies o or y implies n | 20 | false |
r is true, m is true, j is false, s is true, w is false, b is false, c is false, i is false, o is false, k is false, y is false, a is false, g is true, v is false | m implies m or y or k and v or s or i and v or s implies r or a implies w or y and v implies j and o and g and c or b | 18 | true |
p is false, b is true, x is true, f is true, k is true, c is true | p implies c or b implies k implies x or f | 5 | true |
e is false, r is false, j is false, q is true, p is true, w is false, x is false, d is false, t is true, i is true, y is true, a is true | j or t and e or a or p and j or p and d implies w and i and q implies e or y and r implies e implies i implies x and d or y and t or x | 20 | true |
a is true, q is false | q or a | 1 | true |
s is true, x is false, z is false, v is false, k is true, g is false, l is true, h is false, n is false, c is false | x or k or l and l or s or c or n or l implies v and z implies s implies h or k and g | 13 | false |
e is true, q is true, s is false, p is false, z is true, c is true, i is false, d is false, y is false, n is false, v is false | i or e implies d implies i implies v and p implies c or p or s and z or q and v and n or p or q implies i and y | 16 | false |
m is true, s is false, x is true, c is false, d is true, t is false, k is false, i is true, h is true, n is false, v is true | v and n implies h or m and x implies h or m implies t implies k implies d implies i or d implies t implies t implies c or c implies c implies t implies s or d and t | 20 | true |
o is false, x is false, f is true | o and f and x | 2 | false |
w is false, o is true, k is false, l is false, a is false, c is true | o and w implies a implies l implies c implies k | 5 | false |
m is false, j is false, s is false, p is false, w is false, i is false, d is false, l is true, v is false | p implies j or j or i implies s implies s implies m implies l and d implies w and v | 10 | false |
p is false, x is false, k is true, z is true | p or z implies x or k | 3 | true |
x is true, u is false, g is true, h is true, n is false | x or h or u or n and h implies g or u | 6 | true |
e is true, j is true, m is false, s is true, w is true, b is false, x is false, h is true, i is false, t is true, y is false, l is false, a is true, g is false | y and j and g or y or e or i implies b or m and w or x implies i implies i and t implies l implies h implies l or s implies m and a | 18 | false |
j is false, m is false, s is false, w is false, d is true, t is true, y is false, u is true, n is true, c is true | w implies c implies s implies j implies n and t implies u and m implies y or t and j and n and s and d | 13 | true |
j is false, q is false, p is true, b is false, u is false, v is false, d is false, i is false, y is true, g is false, a is true, h is true, n is true, c is true | u or n or h and j or c implies b implies d implies h and d and p and y implies q or i and j implies q or v and d implies b or g and v implies a | 20 | true |
e is false, r is false, m is true, w is true, b is true, x is true, z is true, u is false, v is false, y is true, k is true, l is true, g is true, c is true | v and m implies c and g or w implies w implies y or c implies b and k or e implies u or z implies m implies u implies r or l or x or v | 18 | true |
r is false, q is true, j is true, w is false, i is false, n is false | j or r or i or q implies w or n | 5 | false |
b is false, x is false, o is true, y is true, n is false | n and b implies x or y or o | 4 | true |
x is true, f is true | f and x | 1 | true |
q is false, s is true, z is true, i is false, y is true, a is true, g is true, n is true | i or y implies a implies z implies s implies q or n and a implies g | 8 | true |
q is true, u is false, i is true, h is true, f is false | q or u and h and i and f | 4 | true |
k is false, y is true | y implies k | 1 | false |
e is true, q is false, j is false, s is true, p is true, w is false, x is true, b is true, o is true, i is true, k is false, t is false, l is false, a is false, y is true, h is true, g is true, v is true | v and q and p and i implies o and k and l and j or a and s and h or x implies g implies w implies t implies e or w and b or y implies h | 19 | true |
e is false, j is true, w is true, b is true, z is false, u is true, i is true, t is true, k is false, d is false, h is true, c is true | e or h and t implies k or u implies w and b and j implies u or i and e or w implies d and z implies c | 14 | true |
q is true, p is true, b is true, i is true, t is true, l is true, a is true, g is false, n is true | p and q and b implies i or l or t implies n or p implies q or a or g implies t | 11 | true |
j is false, w is false, b is true, d is true, o is true, g is false, t is false, l is false, a is true, h is true, n is false | d and a or h and w and n and a implies j and b and l implies o and j and g implies n and h and j or n and t | 16 | false |
s is false, w is true, x is true, z is false, c is false, d is false, t is true, y is true, l is true, n is true, f is true | d implies y or w or z and y implies f and s and t and x and c and n and l implies t and l implies d | 14 | false |
e is true, x is true, z is true, u is true, d is false, i is true, k is true, g is true, l is true, h is false, n is true, v is true | n and h implies g and k and v and d or x and e implies x implies i and l or l and z and u | 13 | true |
e is true, n is false | e and n | 1 | false |
r is true, j is true, m is false, w is true, x is false, z is true, d is true, t is false, k is true, a is false, u is true | j or t implies r and j implies z implies a implies w and k implies d and u or x or m | 11 | true |
e is false, j is true, b is false, i is false, o is false, y is true, h is false | i or o and y and b or e implies e and j or h | 7 | true |
j is false, m is false, a is false, h is false, g is true, c is false | g or a or g or h implies j or j or c and m | 7 | false |
e is true, r is true, q is true, p is true, i is false, h is true, g is false | q or p implies i or g and p or h or e or h implies r or g or p | 10 | true |
r is false, m is true, w is true, b is true, x is false, z is false, c is true, i is false, t is true, y is false, d is false, l is true, a is true, g is true, f is false | w or f or t or g and i or r implies y and i implies x or c implies z and y implies t implies d and m and b implies g and a and l or x | 19 | true |
e is true, j is false, y is false, s is false | j or e implies s implies y or s | 4 | true |
s is false, w is false, p is true, x is false, z is false, i is false, t is false, y is false, d is false, g is false | i or y implies i implies t or p or w and x and s or g or z and d implies x | 11 | false |
r is false, m is false, q is false, j is false, s is true, x is true, f is true, c is true, d is true, t is false, y is false, g is false, v is false | f implies g implies s or g or m and v or q and d or d implies x implies c or t or x implies m implies j or d and r implies m implies c and m implies y | 20 | false |
e is false, j is true, m is false, q is false, u is true, o is false, k is true, l is true, a is false, g is false, f is false | m or k implies e or g or g implies j or a and m and k implies f or o or j or q or l or j and u and a or o | 17 | true |
m is true, b is true, x is false, z is false, d is true, o is false, k is true, g is true, i is false, h is false, n is true, f is false | d and k implies n and h or z and f and m implies b implies x or z and b or m implies o implies n and g implies o or i | 16 | false |
e is false, r is true, j is false, q is false, s is true, z is true, o is true, y is false, l is true, a is false, u is true, g is true, c is true | a or z and j and o and e or u or a and r and l and q implies g or u implies s and y implies l or c | 15 | true |
e is true, r is false, m is true, j is true, w is true, x is true, z is true, f is false, o is true, t is false, y is true, k is false, a is true, u is true, v is true | w and r or e and v or t or u or m or z implies o and x or f and o implies j and r or y implies k implies v and a or e | 18 | true |
e is false, m is true, z is false, d is false, o is true, y is false, k is true, g is true, a is true, l is false, u is true, n is false, c is false | c or k implies y or a implies u and e implies m and d and u and n implies a implies n or g or y or z implies a implies o implies l and u implies l and o | 20 | true |
e is true, q is true, s is true, x is false, z is false, v is true, o is true, k is true, h is true, n is true, c is true | h and s implies e or c implies o or k or n and v and v or z or s or q or c and x implies x implies e | 15 | true |
t is false, k is true, l is true, g is true, c is true | k and c or t implies g and l | 4 | true |
m is false, j is true, s is true, p is false, z is false, d is false, k is false, y is true, l is true, a is true, h is false, n is true | k or n or j implies k and k implies m and z implies s or s or a or l and k or y and k or d or h implies p | 16 | false |
p is false, i is true | p or i | 1 | true |
e is true, r is true, m is false, j is true, s is true, p is false, h is true, b is true, z is true, o is true, y is false, k is false, a is true, g is true | k implies y implies p implies o and m implies g or a implies h or p and y or r implies j and k or g or s and y implies e and e and b implies s and z | 20 | true |
e is true, r is true, m is true, j is false, s is true, w is true, b is true, v is true, c is false, i is true, o is true, k is false, l is false, a is false, u is true, f is true | f or k and a and u and i implies m or b implies r and l or w implies l implies c and s implies v or j implies b or m and e implies o | 18 | true |
q is false, h is true, x is false | h and q implies x | 2 | true |
p is false, d is true, t is true, l is false | p and l implies d and t | 3 | true |
e is true, q is false, s is false, p is false, b is true, x is true, v is true, i is false, o is false, d is false, t is false, g is true, n is true, f is true | s or f and n implies q and q and i or g implies e implies b implies p or i and v and s and o or v implies f implies n implies d or x or v implies t | 20 | false |
r is false, h is false, j is true, x is true | j or r implies x implies h | 3 | false |
p is false, x is true, z is true, k is true, y is false, l is true, h is true, g is false | p and h implies k and x and y and l implies g or z | 7 | true |
x is true, z is true, t is false, k is false, a is true, h is true | t and x implies k and a and h or z and t | 6 | true |
e is false, r is false, m is true, s is false, b is false, x is false, c is true, d is false, i is true, y is false, l is false, g is false, v is false | r and y or x or s and e or m and g or s and m and d or y or l or v and c and m and b implies r implies e implies i | 18 | true |
e is true, r is true, j is false, s is false, p is true, h is false, c is true, i is false, n is false, u is false, g is true, v is true | r and u or v or e or e implies p and c or r implies j or h implies g or e or s implies c or i and j and n | 16 | true |
e is true, q is false, j is false, w is true, x is true, z is false, u is false, c is false, i is false, y is false, k is false, g is false, v is true | x and g implies y and u and z or v and i implies k and k and e implies q or w implies j implies c or u | 14 | true |
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